Tokyo Journal of Mathematics

Metric Properties of Denjoy's Canonical Continued Fraction Expansion

Marius IOSIFESCU and Cor KRAAIKAMP

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Abstract

Metric properties of Denjoy's canonical continued fraction expansion are studied, and the natural extension of the underlying ergodic system is given. This natural extension is used to give simple proofs of results on mediant convergents obtained by W. Bosma in 1990.

Article information

Source
Tokyo J. Math., Volume 31, Number 2 (2008), 495-510.

Dates
First available in Project Euclid: 5 February 2009

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1233844066

Digital Object Identifier
doi:10.3836/tjm/1233844066

Mathematical Reviews number (MathSciNet)
MR2477886

Zentralblatt MATH identifier
1205.37019

Subjects
Primary: 28D05: Measure-preserving transformations
Secondary: 11K55: Metric theory of other algorithms and expansions; measure and Hausdorff dimension [See also 11N99, 28Dxx]

Citation

IOSIFESCU, Marius; KRAAIKAMP, Cor. Metric Properties of Denjoy's Canonical Continued Fraction Expansion. Tokyo J. Math. 31 (2008), no. 2, 495--510. doi:10.3836/tjm/1233844066. https://projecteuclid.org/euclid.tjm/1233844066


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References

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